Geometry of Curvature Homogenous Pseduo-Riemannian Manifolds |
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Author:
| Gilkey, Peter B. |
Series title: | ICP Advanced Texts in Mathematics Ser. |
ISBN: | 978-1-281-12067-0 |
Publication Date: | Jan 2007 |
Publisher: | World Scientific Publishing Co Pte Ltd
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Book Format: | Ebook |
List Price: | USD $220.00 |
Book Description:
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Pseudo-Riemannian geometry is an active research field not only in differential geometry but also in mathematical physics where the higher signature geometries play a role in brane theory. An essential reference tool for research mathematicians and physicists, this book also serves as a useful introduction to students entering this active and rapidly growing field. The author presents a comprehensive treatment of several aspects of pseudo-Riemannian geometry, including the spectral...
More Description
Pseudo-Riemannian geometry is an active research field not only in differential geometry but also in mathematical physics where the higher signature geometries play a role in brane theory. An essential reference tool for research mathematicians and physicists, this book also serves as a useful introduction to students entering this active and rapidly growing field. The author presents a comprehensive treatment of several aspects of pseudo-Riemannian geometry, including the spectral geometry of the curvature tensor, curvature homogeneity, and Stanilov–Tsankov–Videv theory.Contents: The Geometry of the Riemann Curvature TensorCurvature Homogeneous Generalized Plane Wave ManifoldsOther Pseudo-Riemannian ManifoldsThe Curvature TensorComplex Osserman Algebraic Curvature TensorsStanilov-Tsankov Theory
Readership: Researchers in differential geometry and mathematical physics.